For two polynomials f \in \mathbb{F}[x_1, x_2, \ldots, x_n, y] and p \in \mathbb{F}[x_1, x_2, \ldots, x_n], we say that p is a root of f, if f(x_1, x_2, \ldots, x_n, p) \equiv 0. We study the relation between the arithmetic circuit sizes of f and p for general circuits ... more >>>